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Finding the Third Proportional to 317,400 and 421,236

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Solution

The third proportional to 317,400 and 421,236 is: 559,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,400 : 421,236 = 421,236 : x
  2. Step 2: Convert to fraction form
    317,400/421,236 = 421,236/x
  3. Step 3: Cross multiply
    317,400x = 421,236 × 421,236
  4. Step 4: Simplify right side
    317,400x = 177,439,767,696
  5. Step 5: Solve for x
    x = 177,439,767,696/317,400
  6. Step 6: Final answer
    x = 559,041.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.